A globally consistent nonlinear least squares estimator for identification of nonlinear rational systems
文献类型：期刊论文
| 作者 | Mu, Biqiang1,3 ; Bai, Er-Wei2; Zheng, Wei Xing3; Zhu, Quanmin4
|
| 刊名 | AUTOMATICA
 |
| 出版日期 | 2017-03-01 |
| 卷号 | 77页码:322-335 |
| 关键词 | Nonlinear rational systems Nonlinear least squares estimators Two-step estimators root N/II-consistent estimators Gauss Newton algorithms |
| ISSN号 | 0005-1098 |
| DOI | 10.1016/j.automatica.2016.11.009 |
| 英文摘要 | This paper considers identification of nonlinear rational systems defined as the ratio of two nonlinear functions of past inputs and outputs. Despite its long history, a globally consistent identification algorithm remains illusive. This paper proposes a globally convergent identification algorithm for such nonlinear rational systems. To the best of our knowledge, this is the first globally convergent algorithm for the nonlinear rational systems. The technique employed is a two-step estimator. Though two-step estimators are known to produce consistent nonlinear least squares estimates if a root N consistent estimate can be determined in the first step, how to find such a root N consistent estimate in the first step for nonlinear rational systems is nontrivial and is not answered by any two-step estimators. The technical contribution of the paper is to develop a globally consistent estimator for nonlinear rational systems in the first step. This is achieved by involving model transformation, bias analysis, noise variance estimation, and bias compensation in the paper. Two simulation examples and a practical example are provided to verify the good performance of the proposed two-step estimator. (C) 2016 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000395354700034 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24883]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Mu, Biqiang |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Iowa, Dept Elect & Comp Engn, Iowa City, IA 52242 USA 3.Univ Western Sydney, Sch Comp Engn & Math, Sydney, NSW 2751, Australia 4.Univ West England, Dept Engn Design & Math, Bristol BS16 1QY, Avon, England |
| 推荐引用方式 GB/T 7714 | Mu, Biqiang,Bai, Er-Wei,Zheng, Wei Xing,et al. A globally consistent nonlinear least squares estimator for identification of nonlinear rational systems[J]. AUTOMATICA,2017,77:322-335. |
| APA | Mu, Biqiang,Bai, Er-Wei,Zheng, Wei Xing,&Zhu, Quanmin.(2017).A globally consistent nonlinear least squares estimator for identification of nonlinear rational systems.AUTOMATICA,77,322-335. |
| MLA | Mu, Biqiang,et al."A globally consistent nonlinear least squares estimator for identification of nonlinear rational systems".AUTOMATICA 77(2017):322-335. |
入库方式： OAI收割
来源：数学与系统科学研究院
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